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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '8.3775841040456309788117212499917469207', 'prec': 130}, 'abs_disc': 57, 'ainvs': '1,0;0,-1;0,1;-6745970,-2059892;10278231250,3138470553', 'analytic_rank': 0, 'bad_primes': ['(w-4)', '(w+3)', '(2*w+7)', '(-2*w+9)'], 'base_change': ['5054.c2', '126.b2'], 'class_deg': 18, 'class_label': '2.2.57.1-196.1-e', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(14)', 'conductor_label': '196.1', 'conductor_norm': 196, 'conductor_norm_factors': [2, 7], 'degree': 2, 'disc': '(-1835008)', 'equation': '{y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\\left(-2059892a-6745970\\right){x}+3138470553a+10278231250', 'field_label': '2.2.57.1', 'galois_images': ['2B', '3B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 2, 3, 6, 9, 18], 'isogeny_matrix': [[1, 9, 3, 6, 18, 2], [9, 1, 3, 6, 2, 18], [3, 3, 1, 2, 6, 6], [6, 6, 2, 1, 3, 3], [18, 2, 6, 3, 1, 9], [2, 18, 6, 3, 9, 1]], 'jinv': '-548347731625/1835008,0', 'label': '2.2.57.1-196.1-e1', 'local_data': [{'p': '(w-4)', 'cp': 18, 'kod': 22, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 18, 'ord_den_j': 18}, {'p': '(w+3)', 'cp': 18, 'kod': 22, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 18, 'ord_den_j': 18}, {'p': '(2*w+7)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(-2*w+9)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(1835008)', 'n_bad_primes': 4, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 3367254360064, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '7.0277081059000617705423007125374356140', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 2.524294372948246, 'semistable': True, 'sha': 1, 'short_class_label': '196.1-e', 'short_label': '196.1-e1', 'signature': [2, 0], 'tamagawa_product': 324, 'torsion_gens': ['[[1168,357],[15188,4637],[1,0]]'], 'torsion_order': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6], 'trace_hash': 1712187066148252811}